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Field name	Details
Dewey Class	519
Title	Phase Portraits of Control Dynamical Systems ([EBook] /) / by Anatoliy G. Butkovskiy.
Author	Butkovskiy, Anatoliy G.
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : : Springer Netherlands : : Imprint: Springer, , 1991.
Physical Details	IX, 170 p. : online resource.
Series	Mathematics and its applications. Soviet series 0169-6378 ; ; 63
ISBN	9789401132589
Contents note	1. Introduction -- 2. Controllable Dynamical System (CDS -- 3. Differential Inclusion. Equivalence Classes of CDS -- 4. Transformation of CDS to Phase Velocity Unit Vectors -- 5. Indicatrix of CDS -- 6. Degree of Freedom in Control of CDS -- 7. The Hamiltonian of CDS as a Support function -- 8. Types of Cones of Admissible Direction of CDS -- 9. Domain of Free Trajectories of CDS -- 10. The Principle of Inclusion in the Event Space -- 11. The Boundary of an Integral Funnels of a Differential Inclusion -- 12. Relationship of the Boundary of an Integral Funnel with the Hamiltonian-Jacobi Equation -- 13. The Principle of Inclusion for an Autonomous CDS in the State Space Integration of CDS -- 14. Boundary of the Trajectory Funnel of CDS -- 15. Geometrical Construction of the Boundary of Trajectory Funnel -- 16. The Euler-Lagrange Equation for the Boundary of Trajectory Funnel -- 17. Hatched Boundaries of Trajectory Funnels Manifold of Reverse Hatching (MRH -- 18. Singular Manifolds of CDS in State Space -- 19. Invariant Manifold of CDS -- 20. Singular and Invariant Manifolds of Linear CDS -- 21. Domain of Free Trajectories on Invariant Manifolds -- 22. Trajectories Funnel on Invariant Manifolds -- 23. Separating Hypersurfaces in State Spaces -- 24. Admissible Manifolds of CDS in State Space -- 25. Phase Portrait of CDS -- 26. Transient and Relative Motion of CDS -- 27. CDS with Ellipsoidal Indicatrix -- 28. CDS and Continuous Non Linear Media. The Principle of Maximum of Flows of Substance. Laplace Operator of CDS -- 29. CDS and Finsler Metric -- 30. Optical Analogue of CDS -- 31. Correspondence between CDSs and Mechanical Systems -- 32. CDS Subject to Phase Constraints -- 33. Singular Sets of Two-Dimensional CDSs -- 34. Phase Portrait of CDS on Two-Dimensional Manifolds -- 35. Examples on Construction of Phase Portrait of Two-Dimensional CDS -- 36. Phase Portrait of Two-Level Quantum-Mechanical CDS -- 37. Example of Decomposable Bilinear CDS in Three-Dimensional Space -- 38. Controllability of General Bilinear CDS on Plane -- 39. Trajectory Funnel in Backward Time -- 40. Optimal Control.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-011-3258-9
Links to Related Works	Subject References: Functions of real variables . Mathematics . Partial differential equations . Real Functions . System theory . Systems Theory, Control . Authors: Butkovskii, A. G. (Anatolii Grigorevich) . Butkovskiy, Anatoliy G. . Butkovskii, A. G. (Anatolii Grigorevich) . See Also: Butkovskij, Anatolij G. . Butkovskiy, A.G. . Butkovskij, Anatolij G. . Butkovskiy, A.G. . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and its applications. Soviet series . Classification: 519 .

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Phase Portraits of Control Dynamical Systems

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